In an excited hydrogen atom, when the electron jumps from nth energy level to $$(n-1)th$$ energy level, wavelength of emitted radiation is λ, when the electron jumps from $$(n-1)th$$ energy level to $$(n-2)th$$ energy level, wavelength of emitted radiation is Kλ. Then what will be the wavelength of emitted radiation when the electron jumps from nth energy level to $$(n-2)th$$ energy level?

Question

In an excited hydrogen atom, when the electron jumps from nth energy level to $$(n-1)th$$ energy level, wavelength of emitted radiation is λ, when the electron jumps from $$(n-1)th$$ energy level to $$(n-2)th$$ energy level, wavelength of emitted radiation is Kλ. Then what will be the wavelength of emitted radiation when the electron jumps from nth energy level to $$(n-2)th$$ energy level?

Infinity Learn · Accepted Answer

hcλ$$=13.61n$$−$$12$$−$$1n2hcK$$λ$$=13.61n$$−$$12$$−$$1n$$−$$22$$∴ and hcλ$$1=13.61n$$−$$22$$−$$1n2$$∴ hcλ$$1=13.61n$$−$$22$$−$$1n$$−$$12+13.61n$$−$$12$$−$$1n2$$⇒hcλ$$1=hcK$$λ$$+hc$$λ⇒λ$$1=K$$λ$$K+1$$

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